The system consists of the following components:
- The coil: v = R*i + L*di/dt
- The magnetic force on the permanent magnet: f = k*(iC + i)/abs(d)pd
iC describes the force between magnet and iron core without coil current.
- The output voltage of the hall effect sensor: e = alfa + beta/d2 + gamma*i
- The equation of motion of the magnet: f - m*g = m*dv/dt
It can be assumed that some parts of the equations as well as the coefficients were obtained by Zeltom by performing measurements.
Note that the axis of motion is vertical in the middle of the coil, directing upwards.
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